We will now briefly describe how BH/fuzz-ball perturbations can be studied by means of quantum SW curves of \({\cal N}=2\)  SYM [1]}, [2]}. We will rely on the Hanany-Witten [3]} setup in which (linear quiver) theories are realised on D4-branes suspended in between NS5-branes. For our purposes it is sufficient to consider \(N_c=2\)  i.e. \(SU(2)\)  gauge group, after \(U(1)\)  decoupling, and \(N_f\le 4\) , in fact \(N_L, N_R\le 2\) . The latter correspond to `flavour' D4-brane infinitely extended to the Left or to the Right of the two NS5-branes [3]}.
